Derives static spherically symmetric black hole metric combining ModMax electrodynamics, Lorentz-violating Kalb-Ramond gravity, and perfect-fluid dark matter, then analyzes thermodynamic quantities and stability.
Some general bounds for 1-D scattering
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abstract
One-dimensional scattering problems are of wide physical interest and are encountered in many diverse applications. In this article I establish some very general bounds for reflection and transmission coefficients for one-dimensional potential scattering. Equivalently, these results may be phrased as general bounds on the Bogolubov coefficients, or statements about the transfer matrix. A similar analysis can be provided for the parametric change of frequency of a harmonic oscillator. A number of specific examples are discussed---in particular I provide a general proof that sharp step function potentials always scatter more effectively than the corresponding smoothed potentials. The analysis also serves to collect together and unify what would otherwise appear to be quite unrelated results.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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ModMax black hole surrounded by perfect-fluid dark matter in Lorentz-violating Kalb-Ramond gravity
Derives static spherically symmetric black hole metric combining ModMax electrodynamics, Lorentz-violating Kalb-Ramond gravity, and perfect-fluid dark matter, then analyzes thermodynamic quantities and stability.